Not necessarily, Raist. It is entirely possible that they began accepting applications for beta with no intention of selecting any non-Legacy members who had applied until Beta Test phase 3 rolled around.

For clarification, the only way to obtain Legacy member account status was to have paid a cumulative (although not necessarily consecutive) 90 days of billing for Final Fantasy XIV version 1.x. That would have been from when billing first began in January 6, 2012 until billing stopped (which was either in late August or early September depending on when your most recently purchased 30-day period had been).